1283302605312 has 1440 divisors, whose sum is σ = 4834507165488. Its totient is φ = 324620255232.

The previous prime is 1283302605301. The next prime is 1283302605329. The reversal of 1283302605312 is 2135062033821.

1283302605312 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 30 + 2 + 605 + 3 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 206057892096 + 1077244713216 = 453936^2 + 1037904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11356660168 + ... + 11356660280.

Almost surely, 2^{1283302605312} is an apocalyptic number.

1283302605312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1283302605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417253582744).

1283302605312 is an abundant number, since it is smaller than the sum of its proper divisors (3551204560176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1283302605312 is a wasteful number, since it uses less digits than its factorization.

1283302605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1283302605312 in words is "one trillion, two hundred eighty-three billion, three hundred two million, six hundred five thousand, three hundred twelve".